A pipe-tapered-thread machining tap has a thread, four spiral flutes and four cutting edges that include a plurality of thread intersection portions at each of which a corresponding one of the four cutting edges intersects with the thread. The thread intersection portions of the cutting edges have four groups, such that each of the four groups has ones of the thread intersection portions that are portions of a corresponding one of the four cutting edges. Every two of the thread intersection portions of each of the four groups is removed, such that, in each of the four groups, at least one of the thread intersection portions that is removed and at least another one of the thread intersection portions that is not removed are alternately arranged in a direction in which a corresponding one of the four cutting edges extends.

A pipe-tapered-thread machining tap has a thread, four spiral flutes and four cutting edges that include a plurality of thread intersection portions at each of which a corresponding one of the four cutting edges intersects with the thread. The thread intersection portions of the cutting edges have four groups, such that each of the four groups has ones of the thread intersection portions that are portions of a corresponding one of the four cutting edges. Every two of the thread intersection portions of each of the four groups is removed, such that, in each of the four groups, at least one of the thread intersection portions that is removed and at least another one of the thread intersection portions that is not removed are alternately arranged in a direction in which a corresponding one of the four cutting edges extends.

A thread milling cutter having a main body which includes a shank and a cutting portion, which is cylindrical in its basic shape, an axis of rotation and a plurality of cutting teeth, which are spaced in the peripheral direction and which are arranged on the cutting portion in at least two different radial planes extending perpendicularly to the axis of rotation is provided. The thread milling cutter combines the advantages of high working efficiency of one-piece thread milling cutters having a plurality of cutting teeth and cutting lobes with the advantages of thread milling cutters having indexable cutting inserts without being restricted to large diameters. The cutting portion, respectively, has at least two seats for receiving a respective standard cutting insert in each of at least two different radial planes and the cutting teeth are formed by cutting corners of standard cutting inserts.